Modelling developed turbulence by methods of synergetics

A. V. Kolesnichenko


Abstract: The attempt of construction of phenomenological model of a turbulence, as process of self-organizing in the open system is made. Representation of a turbulent continuum by the way of thermodynamic complex consisting of two subsystems (of the subsystem of mean motion and the subsystem of turbulent chaos, considered, in turn, as conglomeration of vortical structures of different time-space scales), has allowed to receive by methods of non-equilibrium thermodynamics not only determining ratio for velocity of a dissipation of turbulent energy in heat, but has enabled to describe Kolmogorov cascade process and to receive manifold kinetic equations (such as Fokker-Plank in configuration space) for distribution functions of the small-scale characteristics of a turbulence, in particular, non-stationary kinetic equation for a probability distribution function of a dissipation of turbulent energy.